Combining Philosophers

All the ideas for Douglas Lackey, Karl Weierstrass and Catherine Z. Elgin

expand these ideas     |    start again     |     specify just one area for these philosophers

7 ideas

2. Reason / A. Nature of Reason / 6. Coherence
8616 How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin]
8617 Statements that are consistent, cotenable and supportive are roughly true [Elgin]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
21554 Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
21553 It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18086 Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18092 Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
8618 Coherence is a justification if truth is its best explanation (not skill in creating fiction) [Elgin]